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Finding the Third Proportional to 671,926 and 1,461,946

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Solution

The third proportional to 671,926 and 1,461,946 is: 3,180,835.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,926 : 1,461,946 = 1,461,946 : x
  2. Step 2: Convert to fraction form
    671,926/1,461,946 = 1,461,946/x
  3. Step 3: Cross multiply
    671,926x = 1,461,946 × 1,461,946
  4. Step 4: Simplify right side
    671,926x = 2,137,286,106,916
  5. Step 5: Solve for x
    x = 2,137,286,106,916/671,926
  6. Step 6: Final answer
    x = 3,180,835.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.